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Find the smallest positive integer n such that 135n is divisible by 360.

 Jul 1, 2020
 #1
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The smallest n = 8

 

135 * 8 =1080

 

1080 mod 360 = 0

 Jul 1, 2020
 #2
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Find the smallest positive integer n such that 135n is divisible by 360.

 

\(\begin{array}{|rcll|} \hline \text{lcm}(360,135) &=& 1080 \\ 135n &=& 1080 \\ n &=& \dfrac{1080}{135} \\ \mathbf{n} &=& \mathbf{8} \\ \hline \end{array}\)

 

laugh

 Jul 2, 2020

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